Basic Math Examples

$5 b (a + 5) - a (5 - b) + 3 (a + b - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 b a + 5 b \cdot 5 - a (5 - b) + 3 (a + b - 2)$

Step 1.2

Multiply $5$ by $5$ .

$5 b a + 25 b - a (5 - b) + 3 (a + b - 2)$

Step 1.3

Apply the distributive property.

$5 b a + 25 b - a \cdot 5 - a (- b) + 3 (a + b - 2)$

Step 1.4

Multiply $5$ by $- 1$ .

$5 b a + 25 b - 5 a - a (- b) + 3 (a + b - 2)$

Step 1.5

Rewrite using the commutative property of multiplication.

$5 b a + 25 b - 5 a - 1 \cdot - 1 a b + 3 (a + b - 2)$

Step 1.6

Simplify each term.

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Step 1.6.1

Multiply $- 1$ by $- 1$ .

$5 b a + 25 b - 5 a + 1 a b + 3 (a + b - 2)$

Step 1.6.2

Multiply $a$ by $1$ .

$5 b a + 25 b - 5 a + a b + 3 (a + b - 2)$

Step 1.7

Apply the distributive property.

$5 b a + 25 b - 5 a + a b + 3 a + 3 b + 3 \cdot - 2$

Step 1.8

Multiply $3$ by $- 2$ .

$5 b a + 25 b - 5 a + a b + 3 a + 3 b - 6$

Step 2

Add $5 b a$ and $a b$ .

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Step 2.1

Move $b$ .

$25 b - 5 a + 5 a b + a b + 3 a + 3 b - 6$

Step 2.2

Add $5 a b$ and $a b$ .

$25 b - 5 a + 6 a b + 3 a + 3 b - 6$

Step 3

Add $25 b$ and $3 b$ .

$- 5 a + 6 a b + 3 a + 28 b - 6$

Step 4

Add $- 5 a$ and $3 a$ .

$- 2 a + 6 a b + 28 b - 6$

Step 5

Reorder $- 2 a$ and $6 a b$ .

$6 a b - 2 a + 28 b - 6$